👉 In mathematics, a bilinear map is a function that takes two vectors and maps them to another vector in the same way. The term "bilinear" comes from the Greek word "bi", meaning "two," and "linear," meaning "independent." Therefore, a bilinear map can be thought of as a linear transformation where one variable depends on the other. For example, consider two vectors \(x\) and \(y\). If we define a bilinear function \(\mathbf